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Logs are defined only for positive numbers so the log of a negative number does not exist.

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Q: How is it possible to find the negative log explain?
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Is it possible for a logarithm to equal a negative number?

Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.


Is negative value possible inside an anti-log?

No. The range of the exponential (antilog) function is the positive reals (unless you are dealing with the complex field).


Why negative value is not valid for log?

The logarithm function is the inverse of the exponential function. Take the exponential function (base 10): y = 10x. The inverse of this is x = 10y. The function y = log(x) is used to define this inverse function. First look at y = 10x. Any real value of x will yield a positive real value for y. If x = 0, then y = 1; if x < 0 (negative) then y is between 0 and 1 (it will never equal zero, though). A value of 10-99999 is very close to zero, but not quite there. There are no real values of x which will give a negative y value for y = 10x. Now look at y = log(x) or x = 10y. No matter what real values for y, that we choose, x will always be a positive number, so a negative value of x in y = log(x) is not possible if you are limiting to real numbers. It is possible with complex and imaginary numbers to take a log of a negative number, or to get a negative answer to y = 10x.


Log -3 equals?

There is no answer - it is an error: negative numbers do not have logarithms. The log if a number tells to what power the (positive) base must be raised to get the number. Raising any positive number to any power will never result in a negative number, so it is an error to try and take the log of a negative number.


Explain why a and b must be equal if log a equals log b?

It is because the logarithm function is strictly monotonic.

Related questions

Is it possible for a logarithm to equal a negative number?

Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.


Why can't you have a negative argument in a logarithm- Negative two to the third power equals negative eight so why can't the log of base negative two of negative 8 equal three?

some times dams have negitives effects I added the answer below to a link of a Yahoo answer; however, it IS possible to calculate the log of a negative number but you have to work in complex numbers.


What is -log equivalent to?

The negative log of a number is the log of the number's reciprocal ('1' divided by the number).


Is negative value possible inside an anti-log?

No. The range of the exponential (antilog) function is the positive reals (unless you are dealing with the complex field).


How do you find pH of two compounds given together?

The pH of a solution is the negative log of the concentration of H+ ions. In maths form -log[H+]. So the pH of 0.01M HCl is 2 (log 0.01 is -2 and negative -2 is 2) because all of the H+ hoes into solution in HCl. The pH of 0.001 HCl is 3. Because you are combining equal amounts the concentration of the mixture is (0.01M + 0.001M)/2 or 0.0055M the log of 0.0055 is -2.25. The negative log of -2.25 is 2.25 so the pH of the mixture would be 2.25.


What is a negative logarithm?

A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)


Explain log on and log in?

There really is no difference. Some people just say it differently.


If you have a column of values on excel wth negative and positive values and you want to take the LOG of them what do you do?

You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.You can't take the log of negative numbers - at least, not while you stay in the realm of real numbers.


How do you get log 13(7) out of log 13(2) log 13(3) and log 13(5)?

It is not possible.


What is the mathematical definition of pH?

pH is the negative log of the hydrogen ion (hydronium ion) concentration. It is - log [H+] or - log [H3O+]


How do you calculate the pH of 0.0041 M?

If that is the hydronium ion concentration, then -log(H+) = pH negative natural common log10 of the H+concentration. If this is the hydroxide ion concentration, there's a couple ways of going about it. You could find the pOH = -log(OH-) and subtract it from 14 Or you could solve for the hydronium ion conc. and then take the negative log of the result. Just remember p of anything (pH, pOH, pKa, etc) is just the negative natural common log of whatever number.


Why negative value is not valid for log?

The logarithm function is the inverse of the exponential function. Take the exponential function (base 10): y = 10x. The inverse of this is x = 10y. The function y = log(x) is used to define this inverse function. First look at y = 10x. Any real value of x will yield a positive real value for y. If x = 0, then y = 1; if x < 0 (negative) then y is between 0 and 1 (it will never equal zero, though). A value of 10-99999 is very close to zero, but not quite there. There are no real values of x which will give a negative y value for y = 10x. Now look at y = log(x) or x = 10y. No matter what real values for y, that we choose, x will always be a positive number, so a negative value of x in y = log(x) is not possible if you are limiting to real numbers. It is possible with complex and imaginary numbers to take a log of a negative number, or to get a negative answer to y = 10x.